Towards a classification of steady-state bifurcations for networks with asymmetric inputs
DOI10.1007/S00332-024-10061-3zbMATH Open1548.34046MaRDI QIDQ6588235
M. A. D. Aguiar, A. P. S. Dias, Pedro Soares
Publication date: 15 August 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
steady-state bifurcationcoupled cell networkasymmetric inputssynchrony spacesynchrony subspaces lattice
Applications of graph theory (05C90) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamics induced by flows and semiflows (37C10) Synchronization of solutions to ordinary differential equations (34D06)
Cites Work
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- Synchrony Branching Lemma for Regular Networks
- Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
- Complex dynamics and the structure of small neural networks
- Combinatorial dynamics
- Towards a classification of networks with asymmetric inputs
- Minimal coupled cell networks
- Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 1: 1-Dimensional Cells
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